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111142040515000 = 23541114913562177
BaseRepresentation
bin11001010001010101000101…
…110110000011000110111000
3112120112002000220020222200221
4121101111011312003012320
5104031422344332440000
61032213540515305424
732260514241651325
oct3121250566030670
9476462026228627
10111142040515000
1132460090449360
12105700a45ab274
134a02859ac03c1
141d634369b9b4c
15ccb0d5db261a
hex651545d831b8

111142040515000 has 160 divisors (see below), whose sum is σ = 285985647486000. Its totient is φ = 40144040960000.

The previous prime is 111142040514949. The next prime is 111142040515069. The reversal of 111142040515000 is 515040241111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1413912 + ... + 14976088.

Almost surely, 2111142040515000 is an apocalyptic number.

111142040515000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111142040515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142992823743000).

111142040515000 is an abundant number, since it is smaller than the sum of its proper divisors (174843606971000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111142040515000 is a wasteful number, since it uses less digits than its factorization.

111142040515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562363 (or 13562344 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 111142040515000 its reverse (515040241111), we get a palindrome (111657080756111).

The spelling of 111142040515000 in words is "one hundred eleven trillion, one hundred forty-two billion, forty million, five hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 149 200 220 250 275 298 440 500 550 596 625 745 1000 1100 1192 1250 1375 1490 1639 2200 2500 2750 2980 3278 3725 5000 5500 5960 6556 6875 7450 8195 11000 13112 13750 14900 16390 18625 27500 29800 32780 37250 40975 55000 65560 74500 81950 93125 149000 163900 186250 204875 327800 372500 409750 745000 819500 1024375 1639000 2048750 4097500 8195000 13562177 27124354 54248708 67810885 108497416 135621770 149183947 271243540 298367894 339054425 542487080 596735788 678108850 745919735 1193471576 1356217700 1491839470 1695272125 2020764373 2712435400 2983678940 3390544250 3729598675 4041528746 5967357880 6781088500 7459197350 8083057492 8476360625 10103821865 13562177000 14918394700 16166114984 16952721250 18647993375 20207643730 22228408103 29836789400 33905442500 37295986750 40415287460 44456816206 50519109325 67810885000 74591973500 80830574920 88913632412 93239966875 101038218650 111142040515 149183947000 177827264824 186479933750 202076437300 222284081030 252595546625 372959867500 404152874600 444568162060 505191093250 555710202575 745919735000 889136324120 1010382186500 1111420405150 1262977733125 2020764373000 2222840810300 2525955466250 2778551012875 4445681620600 5051910932500 5557102025750 10103821865000 11114204051500 13892755064375 22228408103000 27785510128750 55571020257500 111142040515000